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Finding the Fourth Proportional to 1,436.37, 2,154.90 and 512.01

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Solution

The fourth proportional to 1,436.37, 2,154.90 and 512.01 is: 768.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436.37 : 2,154.90 = 512.01 : x
  2. Step 2: Convert to fraction form
    1,436.37/2,154.90 = 512.01/x
  3. Step 3: Cross multiply
    1,436.37x = 2,154.90 × 512.01
  4. Step 4: Simplify right side
    1,436.37x = 1,103,327.79
  5. Step 5: Solve for x
    x = 1,103,327.79/1,436.37
  6. Step 6: Final answer
    x = 768.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.